The minimum and maximum temperature on a cold day in Lollypop Town can be modeled by the equation below:
|x − 6| + 14 = 38
What are the minimum and maximum temperatures for this day?
A. x = −9, x = 21
B. x = −6, x = 18
C. x = 6, x = −18
D. No solution

Question

The minimum and maximum temperature on a cold day in Lollypop Town can be modeled by the equation below:  
|x − 6| + 14 = 38
What are the minimum and maximum temperatures for this day?
A. x = −9, x = 21 
B. x = −6, x = 18 
C. x = 6, x = −18 
D. No solution

jango_in_dtown · Answer

|x-6|+14=38 implies |x-6|=38-14=24
therefore x-6=-24,24 implies x=-18,30
so min =-18 nd max=30

anonymous · Answer

but that's not one of the answers

jango_in_dtown · Answer

since its called cold day, no 30 will never be reached... right?
So you may go for option D

ybarrap · Answer

Since
$$
|x-6|=38-14=24
$$
then
$$
\sqrt{(x-6)^2}=24\
(x-6)^2=24^2\
x^2-12x+36=24^2\
x^2-12x+36-24^2=0\
	ext{Using quadratic formula:}\
x=-18,30
$$
This gives you the range of values that x can be